A posteriori error estimates for nonstationary problems

Abstrakt

We apply continuous and discontinuous Galerkin time discretization together with standard finite element method for space discretization to the heat equation. For the numerical solution arising from these discretizations we present a guaranteed and fully computable a posteriori error upper bound.

Moreover, we present local asymptotic efficiency estimate of this bound.

Klíčová slova

• a posteriori error estimate
• evolution problems
• finite element method